Finding the Third Proportional to 41,816 and 90,162

Step by Step Solution

1. Step 1: Write the proportion equation
   41,816 : 90,162 = 90,162 : x
2. Step 2: Convert to fraction form
   41,816/90,162 = 90,162/x
3. Step 3: Cross multiply
   41,816x = 90,162 × 90,162
4. Step 4: Simplify right side
   41,816x = 8,129,186,244
5. Step 5: Solve for x
   x = 8,129,186,244/41,816
6. Step 6: Final answer
   x = 194,403.73